7406182960 has 80 divisors (see below), whose sum is σ = 19011283200. Its totient is φ = 2660683520.

The previous prime is 7406182943. The next prime is 7406182961. The reversal of 7406182960 is 692816047.

It is a tau number, because it is divible by the number of its divisors (80).

It is a hoax number, since the sum of its digits (43) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (7406182961) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 22341 + ... + 123739.

It is an arithmetic number, because the mean of its divisors is an integer number (237641040).

Almost surely, 2^7406182960 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7406182960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9505641600).

7406182960 is an abundant number, since it is smaller than the sum of its proper divisors (11605100240).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

7406182960 is a wasteful number, since it uses less digits than its factorization.

7406182960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101506 (or 101500 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 43.

The square root of 7406182960 is about 86059.1828917751. The cubic root of 7406182960 is about 1949.2377437116.

The spelling of 7406182960 in words is "seven billion, four hundred six million, one hundred eighty-two thousand, nine hundred sixty".